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Exam 3: Describing Data: Numerical Measures

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Question 31

True/False

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For a set of data arranged or sorted in numerical order,the value of the observation in the center is called the weighted mean.

A) True
B) False

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Question 32

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The Investment Research Institute reported in its Mutual Fund Fact Book that the number of mutual funds increased from 5,725 in 1999 to 7,977 in 2009. What is the geometric mean annual percent increase in the number of funds?

A) 1.034
B) 3.37
C) 39.34
D) 71.11
E) 633.5

F) A) and B)
G) All of the above

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Question 33

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For a data set,half of the observations are always greater than the ________.

Variation describes the degree of dispersion in the data.

A sample of assistant professors on the business faculty at state-supported institutions in Ohio revealed the mean income to be $72,000 for nine months,with a standard deviation of $3,000. Using Chebyshev's theorem,what proportion of the faculty earns more than $66,000,but less than $78,000?

Extremely high or low scores affect the value of the median.

The variance of a sample of 121 observations equals 441. The standard deviation of the sample equals

Each person who applies for an assembly job at Robert's Electronics is given a mechanical aptitude test. One part of the test involves assembling a plug-in unit based on numbered instructions. A sample of the length of time it took 42 persons to assemble the unit was organized into the following frequency distribution. What is the standard deviation (in minutes) ?

A sample of wires coming off the production line was tested for tensile strength. The statistical results (in PSI) were the following: According to the Empirical rule,the middle 95% of the wires tested had a tensile strength between approximately what two values?

A sample of small bottles and their contents has the following weights (in grams) : 4,2,5,4,5,2,and 6. What is the sample variance of bottle weight?

What is the relationship among the mean,median,and mode in a symmetric distribution?

The ages of all the patients in the isolation ward of the hospital are 38,26,13,41,and 22. What is the population variance?

For the most recent seven years,the U.S. Department of Education reported the following number of bachelor's degrees awarded in computer science: 4,033; 5,652; 6,407; 7,201; 8,719; 11,154; 15,121. What is the annual arithmetic mean number of degrees awarded?

When computing the arithmetic mean,the smallest value in the data set

For any data set,which measures of central location have only one value?

The times (in minutes) that several underwriters took to review applications for similar insurance coverage are 50,230,52,and 57. What is the median length of time required to review an application?

The U.S. Federal Aviation Administration reported that passenger revenues on international flights increased from $528 million in 1986 to $5,100 million in 2009. What is the geometric mean annual percent increase in international passenger revenues?

The distribution of a sample of the outside diameters of PVC pipes approximates a symmetrical,bell-shaped distribution. The arithmetic mean is 14.0 inches,and the standard deviation is 0.1 inches. About 68% of the outside diameters lie between what two amounts?

Consider two populations with the same mean. Since they have the same mean,then

Assume a student received the following grades for the semester: History,B; Statistics,A; Spanish,C; and English,C. History and English are 5 credit-hour courses,Statistics a 4 credit-hour course,and Spanish is a 3 credit-hour course. If 4 grade points are assigned for an A,3 for a B,and 2 for a C,what is the weighted mean grade for the semester?